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Finding the Fourth Proportional to 2,277.40, 3,416.46 and 978.88

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Solution

The fourth proportional to 2,277.40, 3,416.46 and 978.88 is: 1,468.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.40 : 3,416.46 = 978.88 : x
  2. Step 2: Convert to fraction form
    2,277.40/3,416.46 = 978.88/x
  3. Step 3: Cross multiply
    2,277.40x = 3,416.46 × 978.88
  4. Step 4: Simplify right side
    2,277.40x = 3,344,304.36
  5. Step 5: Solve for x
    x = 3,344,304.36/2,277.40
  6. Step 6: Final answer
    x = 1,468.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.